2 years ago

Consecutive angles in a parallelogram are supplementary. What is the value of x?

Mathematics

1 answer:

Naddika [18.5K]2 years ago

8 0

Step-by-step explanation:

HERE,

$\angle{PQR=20+2x }$ ⠀

$\angle{ QRS=6x }$ ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

$\angle{PQR}+\angle{QRS}=180$ ⠀

$\tt{20+2x+6x=180 }$ ⠀

$\tt{8x+20=180 }$ ⠀

$\tt{8x=180-20 }$ ⠀

$\tt{8x=160 }$ ⠀

$\tt{x=\dfrac{160}{20} }$ ⠀

$\tt{ x=20 }$ ⠀

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